Dos pilotos suicidas, que están inicialmente a una distancia de 500 m entre sí, deciden chocar directamente de frente arrancando ambos desde el reposo. Ambos autos pueden desarrollar una aceleración máxima constante de 15 m/s2 . Si el piloto A arranca un segundo antes que el piloto B, encuentra: a) la posición donde los autos chocan, medida a partir de la posición donde arranca el piloto A, y b) la rapidez relativa de la colisión (la rapidez de B con respecto a A justo antes de la colisión, ó viceversa).

Answers

Answer 1

Answer:

a) El punto de colisión de los dos automóviles desde donde parte el conductor del automóvil A es de aproximadamente 293,14 metros.

b) La velocidad del automóvil A, en relación con la velocidad del automóvil B, es de 15 m / s

Explanation:

Los parámetros del movimiento son;

La distancia entre ambos coches = 500 m

La aceleración de ambos coches = 15 m / s²

La dirección de movimiento de ambos coches = uno hacia el otro

La hora de inicio del conductor A = Un segundo antes de la hora de inicio del conductor B

Por lo tanto, de la ecuación de movimiento, tenemos;

s = u · t + 1/2 · a · t²

v² = u² + 2 · a · s

Dónde;

u = La velocidad inicial de los autos = 0 (los autos parten del reposo)

t = El tiempo de movimiento de una aceleración dada

a = La aceleración = 15 m / s²

s = La distancia recorrida en el tiempo t

Por lo tanto, para el controlador A, tenemos;

s₁ = 0 × (t + 1) + 1/2 × 15 × (t + 1) ² = 7.5 × (t + 1) ²

s₁ = 7.5 × (t + 1) ²

Para el conductor B, tenemos;

s₂ = 0 × t + 1/2 × 15 × t² = 7.5 × t²

s₂ = 7,5 × t²

Dado que ambos chocan a lo largo del camino de 500 m, tenemos;

s₁ + s₂ = 500 metros

∴ 7.5 × (t + 1) ² + 7.5 × t² = 500

∵ s₁ + s₂ = 7.5 × (t + 1) ² + 7.5 × t²

Lo que da;

15 · t² + 15 · t + 7.5 = 500

15 · t² + 15 · t - 492,5 = 0

Resolver usando la aplicación en línea da; t = -6,25181 o t = 5,25181

Dado que t es un número natural, tenemos el valor correcto para t = 5.25181 segundos

a) Por tanto, el punto de colisión de los dos coches desde donde parte el conductor del coche A es;

s₁ = 7.5 × (t + 1) ² = 7.5 × (5.25181 + 1) ² ≈ 293.14 metros

El punto de colisión de los dos automóviles desde donde parte el conductor del automóvil A ≈ 293,14 metros

b) La semilla de A en el punto de colisión se da de la siguiente manera

Velocidad, v₁ = u + a × (t + 1) = 0 + 15 × (5.25181 + 1) ≈ 93.78

v₁ ≈ 93,78 m / s

La semilla de B en el punto de colisión también se da de la siguiente manera

Velocidad, v = u + a × (t) = 0 + 15 × 5.25181 ≈ 78.78

v₁ ≈ 78,78 m / s

Por lo tanto, la velocidad del automóvil A, en relación con la velocidad del automóvil B, [tex]v_{relative}[/tex] se da como sigue;

 = v₁ - v₂ = 93,78 m / s - 78,78 m / s = 15 m / s

la velocidad del automóvil A, relativa a la velocidad del automóvil B = 15 m/s.


Related Questions

What is the kinetic Energy of the 80 kg skydiver if he is falling at 60 m/sec?

Answers

KE = 1/2 x 80 x 60^2
KE = 144000

Answer:

144000J

Explanation:

Ek=1/2mv²

Ek=1/2×80×60²

Ek=144000J

On the Moon, astronauts can “bounce” from location to location, but on Earth they cannot move in this way. What physical property changes based on the gravitational force of a planet or moon?

Answers

The physical property that changes is the astronauts “weight” because of the different gravitational force of the moon.

A group of tourists drives through a state park in Maine. While arguing about whether the animal they've just seen is an Elk or a Moose, a chipmunk darts across the park road. The driver, who was traveling 6.7 m/s through the park slams on their breaks and comes to a stop. If the car has an acceleration of -8.3 m/s2, how long does it take the car to stop?

Answers

Answer:

0.8 second

Explanation:

Given data

Speed v=6.7m/s

Deceleration = - 8.3m/s²

Initial velocity u= 0m/s

We can solve for the distance covered upon breaking the speed using the expression

v=u +at

6.7=0-(8.3)t

6.7=8.3t

Divide both sides by 8.3

6.7/8.3=t

t=6.7/8.3

t=0.8 second

An object is accelerating if there is a change in speed and which factor? A. direction B. displacement C. time D. position

Answers

Answer:

time bc speed uses time

Explanation:

hope it helps♡ ;)

An object is accelerating if there is a change in speed and there is a change in direction, therefore the correct answer is option A.

What is acceleration?

The rate of change of the velocity with respect to time is known as the acceleration of the object. Generally, the unit of acceleration is considered as meter/seconds².

Even if the magnitude of the velocity not changing even the change in the direction would lead to acceleration,

uniform circular motion is one of the best examples where the speed is constant but the direction is changing continuously

Thus, An object is accelerating if there is a change in speed and there is a change in direction, therefore the correct answer is option A.

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Why can’t you use a model to learn everything about an object?

Answers

Answer:Models have always been important in science and continue to be used to test hypotheses and predict information. Often they are not accurate because the scientists may not have all the data. It is important that scientists test their models and be willing to improve them as new data comes to light.

Explanation:

Answer:

Models have always been important in science and continue to be used to test hypotheses and predict information. Often they are not accurate because the scientists may not have all the data. It is important that scientists test their models and be willing to improve them as new data comes to light.

Explanation:

If all objects that have mass also have gravity, why doesn't your pencil get pulled towards you while it sits on your desk?

Answers

Answer:

The pencil is not pulled towards a person due to a very small magnitude of force between them, due to lighter masses.

Explanation:

Let us apply Newton's Law of Gravitation between a person and pencil.

Average Mass of a Normal Pencil = m₁ = 10 g = 0.01 kg

Average Mass of a Person = m₂ = 80 kg

Distance between both = r = 1 cm = 0.01 m (Taking minimal distance)

Gravitational Constant = G = 6.67 x 10⁻¹¹ N.m²/kg²

So,

F = Gm₁m₂/r²

F = (6.67 x 10⁻¹¹ N.m²/kg²)(0.01 kg)(80 kg)/(0.01 m)²

F = 5.34 x 10⁻⁷ N

This Force is very small in magnitude due to the light masses of both objects.

Therefore, the pencil is not pulled towards a person due to a very small magnitude of force between them, due to lighter masses.

Newton's first law of motion is also called the law of
.

Answers

Answer:

The focus of Lesson 1 is Newton's first law of motion - sometimes referred to as the law of inertia. Newton's first law of motion is often stated as. An object at rest stays at rest and an object in motion stays in motion with the same speed and in the same direction unless acted upon by an unbalanced force.

Explanation:

Answer:

Newton's first law is also called the law of Inertia.

Explanation:

What is inertia ?

The property of a body by virtue of which it wants to remain in its position, is called inertia.

Mainly there ae three types of inertia-

Inertia of restInertia of motion Inertia of direction

Inertia was discovered by Galileo and it was modified by Newton.

What is Newton's first law of motion ?

If a body is in motion or in rest, it wants to remain in its position unless any external force is applied.

Thus Newton's first law of motion is also called law of inertia.

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A 10 kg box is resting on the table. What is the normal force on the box?

Answers

Answer:

normal force and gravitational force are equal. change kg to newtons

98N

Explanation:

The normal force on the box resting on the table is 98 N.

The given parameters;

mass of the box, m = 10 kg

The normal force on the box resting on the table is the force acting perpendicular to the box and it is calculated as follows;

Fₙ = mg

where;

m is the mass of the boxg is the acceleration the to gravity

Fₙ = 10 x 9.8

Fₙ = 98 N

Thus, the normal force on the box resting on the table is 98 N.

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A 250 kg cannon containing a cannonball is initially at rest. If the cannon shoots the 20 kg cannonball at 15 m/s, what is the magnitude of the recoil velocity of the cannon?

Answers

About 56 mph only for this tho it’s only for this one tho

Answer:

hhgyujhkhgjghhjhhghjkhlhjkghghgh

Explanation:

A car travels at a constant speed of 70 km/hr for 15 minutes. The car decreases its speed from 70 to 40 km/hr over the next two minutes and then continues to travel at a constant speed of 40 km/hr for the next 5 minutes Which of the following graphs best represents the car's motion during the given time period?​

Answers

Answer:

A car travels at a constanT

Define what velocity means.

Answers

Answer:

The velocity of an object is the rate of change of its position with respect to a frame of reference, and is a function of time. Velocity is equivalent to a specification of an object's speed and direction of motion (e.g. 60 km/h to the north).

21000 km/hr how far will it travel in 5 hours

Answers

Answer:

105000 is the answer your welcome

Explanation:

105000

How do I shift reality?

Answers

Answer:

i think you should probably join shifting aminos/discord servers. i would tell you how but it wont fit here :((

Explanation:

Answer:

Shimmey shay on yt

Explanation:

Plz I need the answer quick!!!
What is the definition of law of conservation of energy

Answers

Answer:

The law of conservation of energy states that energy can neither be created nor destroyed - only converted from one form of energy to another. This means that a system always has the same amount of energy, unless it's added from the outside. This is particularly confusing in the case of non-conservative forces, where energy is converted from mechanical energy into thermal energy, but the overall energy does remain the same. The only way to use energy is to transform energy from one form to another.

Explanation:

Hope this helps!

Answer:

means that energy can neither be created nor destroyed; rather, it can only be transformed or transferred from one form to another.

Explanation: this is a shorter answer.

Which of the following is NOT a vector?
A. Force
B. Acceleration
C. Mass
D. Displacement

Answers

Answer:

Explanation:

Mass is the only one of these that is not vector; everything else has both magnitude and direction.

. A car traveling at 30m/s is accelerated uniformly at the rate of 2.5m/s2for 6 sec. What is its final velocity?

Answers

Answer:

45m/s^1

Explanation:

v=u+at

v=(30)+(2.5)(6)

v=45m/s^1

An object with a mass of 5kg has a force of 20N applied to it. What is the resulting acceleration of the object?​

Answers

Answer:

The answer is 4 m/s²

Explanation:

The acceleration of an object given it's mass and the force acting on it can be found by using the formula

[tex]a = \frac{f}{m} \\ [/tex]

where

f is the force

m is the mass

From the question

f = 20 N

m = 5 kg

We have

[tex]a = \frac{20}{5} \\ [/tex]

We have the final answer as

4 m/s²

Hope this helps you

Find the mass if the force is 18 N and the acceleration is 2 m/s2.

Answers

Answer:

The answer is 9 kg

Explanation:

To find the mass given the force and acceleration we use the formula

[tex]m = \frac{f}{a} \\ [/tex]

where

f is the force

a is the acceleration

We have

f = 18 N

a = 2 m/s²

We have

[tex]m = \frac{18}{2} \\ [/tex]

We have the final answer as

9 kg

Hope this helps you

what is the distance from letter D to A?

Answers

Answer:

5 is a correct Answer iiiiiiiiiii

Select the correct answer from each drop-down menu.
Brenda is a crime scene investigator. She believes there is blood at the scene of the crime but needs to confirm her initial findings. Which of the
following techniques should she use to find probable evidence of blood and confirm that it is indeed blood?
Brenda should uses a
to confirm that it is indeed blood.
test to find probable evidence of blood. If she does so, she should use a
✓ test

Answers

Answer:

it is kastle Meyer fasure

I think its Kyle myer I think

Two ropes are attached a wagon one horizontal to the west with a tension force of 75N and other east and at an angle of 38 degrees upward from horizontal with a lension force of 125 N Find the components of the net force on the cart Show your work

Answers

Answer:

The components of the net force acting on the cart are;

Horizontal force, Fₓ ≈ 23.5 N acting east

The vertical force, [tex]F_y[/tex] ≈ 76.96 N

Explanation:

The parameters given in the question are;

The magnitude of the force on the rope acting horizontally to the west = 75 N

The magnitude of the force on the other rope east acting at an angle to the horizontal = 125 N

The angle to the horizontal of the force on the other rope east to the horizontal = 38°

Therefore, we have;

The horizontal component of the force acting east = 125 × cos(38°) ≈ 98.5 N

The net sum of the horizontal forces, ∑Fₓ noting that the horizontal forces are acting in opposite direction is given as follows;

∑Fₓ = 75 - 125 × cos(38°) = 75 - 98.3 = -23.5N

Given that the difference in forces is negative, and hat we took the force acting east as negative, we have that the net horizontal force is acting east with a horizontal component of 23.5N

The net vertical force, ∑F[tex]_y[/tex], is given as follows;

∑F[tex]_y[/tex] = 125 × sin(38°) ≈ 76.96 N

Therefore, the components of the net force acting on the cart are;

Horizontal force, Fₓ ≈ 23.5 N, the vertical force, [tex]F_y[/tex] ≈ 76.96 N

The components of the net force on the cart are 23.5 Newton and 76.96 Newton.

Given the following data:

Tension force (horizontal) due west = 75 NTension force (horizontal) due east = 125 NAngle of inclination = 38°

To find the components of the net force on the cart:

First of all, we would determine the horizontal component of the force acting due east.

[tex]F_y = Fcos(\theta)\\\\F_y = 125cos(38)\\\\F_y = 125 \times 0.7880\\\\F_y = 98.5 \; Newton[/tex]

Next, we would find the resultant horizontal forces:

[tex]\sum F_y = F + F_y\\\\\sum F_y = 75 + (- 98.5)\\\\\sum F_y = -23.5 \;Newton[/tex]

Therefore, the horizontal component of the net force acts in the opposite direction due east.

Horizontal component of the net force = 23.5 Newton

For the vertical component of the net force:

[tex]\sum F_x = Fsin(\theta)\\\\\sum F_x = 125cos(38)\\\\ \sum F_x = 125 \times 0.6157\\\\ \sum F_x = 76.96\; Newton[/tex]

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When an object is said to be in free fall, the object is actually moving..

Answers

... moving initially with the acceleration of gravity (9.8 m/s^2)

The town of Seaside needs to build a new power plant. The old coal burning plant produces too much pollution and is no longer safe. The mayor decides that he will do some research on alternative forms of energy like nuclear power plants and solar power plants.

What types of resources should the mayor use to conduct his research? Why would these be considered reliable sources of information and why? What types of resources are reliable? How can he use what he learns to make the best decision for the town?

Answers

The mayor is making a good decision to do research into renewable forms of energy. Not only does coal produce pollution, it also contributes to greenhouse gas emissions. Plus, the supply of coal is a finite source. It is considered a natural resource instead of renewable. That means that eventually the supply of coal will run out at some point. Renewables do not encounter such a problem.

So it's smart to look into alternative forms of energy such as nuclear or solar. The benefit of nuclear is that it produces a lot of energy and does so efficiently. The downside is that it's that accidents would lead to disastrous outcomes (eg: the nuclear disaster in Japan). Also, there's the issue of what to do with the nuclear waste. The waste itself is very dangerous and it must be buried underground sealed in thick containers. This is an expensive operation. The rate of decay of the material takes a long time, which means that future generations hundreds of years down the line will have to deal with the waste.

Solar is a cleaner alternative to nuclear, but unfortunately it is not as efficient compared to nuclear power. You need a lot of solar panels in a vast open area to be able to get the energy to power many homes. Places out in the desert are a good choice to put the solar farms because the sun shines intensely there and not many people (or no people) live out in remote areas such as that one.

Because the town is called Seaside, it seems like this town is on the coast. If so, then the mayor should look into wind power to complement solar power. Wind along the coast is often very intense due to the sea current and jet stream. The downside to wind power is that some days the wind doesn't blow at all. The mayor could also look into tidal power which harnesses the flow of the tides coming in and out. If a major river is nearby (that flows into the ocean) then s/he could consider hydroelectric power as well. There are many renewable options to pick from. Each option has its pros and cons, so it's up to the mayor to weigh what exactly their needs are and how efficiently they want electricity. Mixing various options is possibly the best idea since you get a bit of each pro/con from all the options mentioned.

pts
You walk 10 meters east, then 5 meters north. What is your displacement?

Answers

Displacement = square root ( 100+25 ) = .... m

The angle East of North is = inv tan ( 5/10 )

An object has a mass of 10 kg and it is accelerating at a rate of 12 m/s2. What is the net force causing this acceleration?
100 N
O 120 N
0 140 N
O 160 N

Answers

Answer:

net force causing acceleration is 120N

Explanation:

Given parameters:

Mass of the object  = 10kg

Acceleration  = 12m/s²

Unknown:

Net force of this acceleration  = ?

Solution:

According to newtons second law of motion;

     Force  = mass x acceleration

Sine the unknown is the net force, input the parameters and solve for it;

   Force  = 10 x 12  = 120N

The net force causing acceleration is 120N

5. Michael wanted to see what kitchen cleaner worked best for cleaning her counters. He used Lysol, Clorox, Pine-sol, and just water. For each cleaner, he put 5 milliliters of grape juice on the counter, sprayed the cleaner, and wiped it with one paper towel.

Answers

Answer:

Michael wanted to see what kitchen cleaner worked best for cleaning his counters. He used Lysol, Clorox, Pine-Sol, and water. For each cleaner, he used 5 milliliters of grape juice on the counter, sprayed the cleaner, and wiped it with one paper towel. Which of the following would be a constant?

answer choices:

-Lysol

-Cleaning products

-5 milliliters of grape juice

-Cleanest countertop recorded

5 milliliters of grape juice will be constant.

Explanation:

The different cleaning agents have different cleaning capabilities and some will require more of its quantity than others to clean the counter.

Secondly, only the grape juice has a measured amount of 5 milliliters

which one of the following is a derived Si unit a. Newton, b. Meter, c. Mole, d. Kiogram

Answers

Answer:

The SI is founded on seven SI base units for seven base quantities assumed to ... The SI derived units for these derived quantities are obtained from these ... mass density, kilogram per cubic meter, kg/m3 ... amount-of-substance concentration, mole per cubic meter, mol/m3 ... solid angle, steradian (a), sr (c), -, m2·m-2 = 1 (b).

Kilogram is a derived SI unit of the following.

Thus, A universal standard for expressing the magnitudes or quantities of significant natural events is the International System of Units.

The acronym SI, which derives from the French term Systèm international  stands for the System of Units, also known as the metric system. The meter-kilogram-second (MKS) system, an earlier unit of measurement, serves as the foundation for the SI standard.

The SI standard is promoted and explained by the Bureau international des poids et mesures (BIPM). The organization was founded in 1875 and is known as the International Bureau of Weights and Measures in English. It is governed by the International Committee for Weights and Measures (CIPM).

Thus, Kilogram is a derived SI unit of the following.

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Why does sonar use ultrasound rather than sound?

Answers

Answer;  Ultrasonic waves (sounds having frequency greater than 20,000 Hz) are used in sonar because: ... Ultrasonic waves can penetrate water to long distances (because of their high frequency and very short wavelength), but ordinary sound waves or infrasonic waves cannot penetrate water to such long distances.

Answer:

Ultrasonic waves (sounds having frequency greater than 20,000 Hz) are used in sonar because: ... Ultrasonic waves can penetrate water to long distances (because of their high frequency and very short wavelength), but ordinary sound waves or infrasonic waves cannot penetrate water to such long distances

Explanation:

field lines point out from all sides on a object. Some of the lines point into a second object nearby. Which statement best describes the objects? A. both objects are permanent magnets B. both objects are electromagnets C. the first object is negatively charged, and the second object is positively charged D. the first object is positively charged, and the second object is negatively charged

Answers

Answer:

The first object is positively charged, and the second object is negatively charged. (D)

Explanation:

4. Calculate the momentum for each scenario:
a. .02 kg mass moving at 300 m/s
b. 2 kg mass moving at 40 m/s
c. 200 kg mass moving at 4 m/s

Answers

a) Answer:

Momentum = 6 kgm/s

Explanation:

Momentum = mass × velocity

Given that,

mass = 0.02 kg velocity = 300 m/s

Therefore, momentum = (0.02 × 300)kgm/s

Momentum = 6 kgm/s

b) Answer:

Momentum =80 kgm/s

Explanation:

Momentum = mass × velocity

Given that,

mass = 2 kg velocity = 40 m/s

Therefore, momentum = (40 × 2)kgm/s

Momentum = 80 kgm/s

c) Answer:

Momentum = 800 kgm/s

Explanation:

Momentum = mass × velocity

Given that,

mass = 200 kg velocity = 4 m/s

Therefore, momentum = (200 × 4)kgm/s

Momentum =800 kgm/s

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